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Finding the Fourth Proportional to 10,274.69, 15,412.96 and 3,252.86

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Solution

The fourth proportional to 10,274.69, 15,412.96 and 3,252.86 is: 4,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.69 : 15,412.96 = 3,252.86 : x
  2. Step 2: Convert to fraction form
    10,274.69/15,412.96 = 3,252.86/x
  3. Step 3: Cross multiply
    10,274.69x = 15,412.96 × 3,252.86
  4. Step 4: Simplify right side
    10,274.69x = 50,136,176.72
  5. Step 5: Solve for x
    x = 50,136,176.72/10,274.69
  6. Step 6: Final answer
    x = 4,879.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.